selected publications academic article Lamel, B., & Mir, N. (2022). The finite jet determination problem for CR maps of positive codimension into Nash manifolds. 124(6), 737-771. Mir, N., & Zaitsev, D. (2021). UNIQUE JET DETERMINATION AND EXTENSION OF GERMS OF CR MAPS INTO SPHERES. Transactions of the American Mathematical Society. 374(3), 2149-2166. Lamel, B., & Mir, N. (2020). Regularity of CR mappings of abstract CR structures. 31(1), 2050009-2050009. Lamel, B., & Mir, N. (2019). Formal versus analytic CR mappings. Annales Polonici Mathematici. 123(1), 387-422. Lamel, B., & Mir, N. (2018). On the l(infinity) regularity of CR mappings of positive codimension. Advances in Mathematics. 335, 696-734. Lamel, B., & Mir, N. (2018). Convergence and divergence of formal CR mappings. 220(2), 367-406. Lamel, B., & Mir, N. (2017). Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds. 210(3), 963-985. Mir, N. (2017). Holomorphic Deformations of Real-Analytic CR Maps and Analytic Regularity of CR Mappings. Journal of Geometric Analysis. 27(3), 1920-1939. Mir, N. (2016). On Artin approximation for formal CR mappings. Mathematical Research Letters. 23(1), 221-244. Mir, N. (2014). Artins approximation theorems and Cauchy-Riemann geometry. Methods and Applications of Analysis. 21(4), 481-501. Mir, N. (2012). Algebraic approximation in CR geometry. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. 98(1), 72-88. Lamel, B., & Mir, N. (2010). Holomorphic versus algebraic equivalence for deformations of real-algebraic CauchyRiemann manifolds. Communications in Analysis and Geometry. 18(5), 891-925. Lamel, B., Mir, N., & Zaitsev, D. (2008). Lie group structures on automorphism groups of real-analytic CR manifolds. American Journal of Mathematics. 130(6), 1709-1726. Lamel, B., & Mir, N. (2007). Finite jet determination of CR mappings. Advances in Mathematics. 216(1), 153-177. Lamel, B., & Mir, N. (2007). Parametrization of local CR automorphisms by finite jets and applications. Journal of the American Mathematical Society. 20(2), 519-572. Lamel, B., & Mir, N. (2007). Finite Jet Determination of Local CR Automorphisms through Resolution of Degeneracies. The Asian Journal of Mathematics. 11(2), 201-216. Lamel, B., & Mir, N. (2006). Remarks on the rank properties of formal CR maps. Science China Mathematics. 49(11), 1477-1490. Lamel, B., & Mir, N. (2006). On the stability group of CR manifolds. Comptes Rendus Mathematique (Academie des Sciences). 343(3), 169-172. Mir, N. (2003). Analytic regularity of CR maps into spheres. Mathematical Research Letters. 10(4), 447-457. Meylan, F., Mir, N., & Zaitsev, D. (2003). Approximation and convergence of formal CR-mappings. International mathematics research notices. 211-242. Baouendi, M. S., Mir, N., & Rothschild, L. P. (2002). Reflection Ideals and mappings between generic submanifolds in complex space. Journal of Geometric Analysis. 12(4), 543-580. Meylan, F., Mir, N., & Zaitsev, D. (2002). Approximation and convergence properties of formal CR-maps. Comptes Rendus Mathematique (Academie des Sciences). 335(8), 671-676. Mir, N. (2002). Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One. Journal of Differential Geometry. 62(1), 163-173. Meylan, F., Mir, N., & Zaitsev, D. (2002). Analytic regularity of CR-mappings. Mathematical Research Letters. 9(1), 73-93. Mir, N. (2002). On the convergence of formal mappings. Communications in Analysis and Geometry. 10(1), 23-59. Mir, N. (2000). Formal biholomorphic maps of real analytic hypersurfaces. Mathematical Research Letters. 7(3), 343-359. Mir, N. (1999). An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings. Mathematische Zeitschrift. 231(1), 189-202. Mir, N. (1998). Germs of holomorphic mappings between real algebraic hypersurfaces. Annales de l'Institut Fourier. 48(4), 1025-1043. Mir, N. (1998). On the analytic extension of CR map pings between real analytic hypersurfaces in N+1. Comptes Rendus Mathematique (Academie des Sciences). 326(11), 1283-1288. conference paper Bollauf, M. F., Boutros, J. J., & Mir, N. (2019). New Bounds for GLD Lattices and Codes. 2017 IEEE INFORMATION THEORY WORKSHOP (ITW). 180-184. Baklouti, A., El Kacimi, A., Kallel, S., & Mir, N. (2015). Analysis and Geometry. Springer Proceedings in Mathematics and Statistics. V-VI.
principal investigator on Arithmetic of Drinfeld Modular Forms awarded by Qatar National Research Fund - (Doha, Qatar) 2016 - 2020 Cauchy-Riemann equations in several complex variables awarded by Qatar Foundation - (Doha, Qatar) 2015 - 2019 Approximation theorems in algebra and Cauchy-Riemann geometry: When Michael Artin meets Henri Poincaré awarded by Agence Nationale de la Recherche - (Paris, France) 2010 - 2014
teaching activities MATH152 Engineering Math Ii Instructor MATH251 Engineering Math Iii Instructor MATH308 Differential Equations Instructor MATH311 Top In Applied Math I Instructor MATH414 Fourier Series Wavelet Instructor
education and training Ph.D. in Mathematics, University of Rouen - (Rouen, France) 1998 M.S. in Mathematics, University of Rouen - (Rouen, France) 1996